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113351105200 = 24522918153987
BaseRepresentation
bin110100110010001000…
…0001001101010110000
3101211120122002202111111
41221210100021222300
53324120340331300
6124023415323104
711121642332314
oct1514420115260
9354518082444
10113351105200
1144087820043
1219b75080494
13a8c58636a8
1456b42a3b44
152e363e29ba
hex1a64409ab0

113351105200 has 120 divisors (see below), whose sum is σ = 283278275280. Its totient is φ = 43534310400.

The previous prime is 113351105191. The next prime is 113351105269. The reversal of 113351105200 is 2501153311.

It is a super-2 number, since 2×1133511052002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2072607 + ... + 2126593.

It is an arithmetic number, because the mean of its divisors is an integer number (2360652294).

Almost surely, 2113351105200 is an apocalyptic number.

113351105200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113351105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141639137640).

113351105200 is an abundant number, since it is smaller than the sum of its proper divisors (169927170080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113351105200 is a wasteful number, since it uses less digits than its factorization.

113351105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54215 (or 54204 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 113351105200 its reverse (2501153311), we get a palindrome (115852258511).

The spelling of 113351105200 in words is "one hundred thirteen billion, three hundred fifty-one million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 181 200 232 290 362 400 464 580 724 725 905 1160 1448 1450 1810 2320 2896 2900 3620 4525 5249 5800 7240 9050 10498 11600 14480 18100 20996 26245 36200 41992 52490 53987 72400 83984 104980 107974 131225 209960 215948 262450 269935 419920 431896 524900 539870 863792 1049800 1079740 1349675 1565623 2099600 2159480 2699350 3131246 4318960 5398700 6262492 7828115 9771647 10797400 12524984 15656230 19543294 21594800 25049968 31312460 39086588 39140575 48858235 62624920 78173176 78281150 97716470 125249840 156346352 156562300 195432940 244291175 283377763 313124600 390865880 488582350 566755526 626249200 781731760 977164700 1133511052 1416888815 1954329400 2267022104 2833777630 3908658800 4534044208 5667555260 7084444075 11335110520 14168888150 22670221040 28337776300 56675552600 113351105200